Kanban vs Scrum vs Agile.
I personally believe that a lean kanban system combined with the right agile principles and techniques can provide more valueflow than a time boxed scrum system using some lean kanban principles but it requires a bigger change in management culture, a willingness to let go of old habits.

Kanban vs. Scrum: What are the differences? LeanKit.
Kanban is not Scrum, and there are several distinctions between Kanban and Scrum, though they are both work methods. Kanban is a visual management method that was developed by Hirotaka Takeuchi and Ikujiro Nonaka in the New New Product Development Game.

Kanban Guide for Scrum Teams Scrum.org. Scrum.orgLogo_withoutTag.
The Kanban Guide for Scrum Teams is the result of a collaboration between members of the Scrum.org community and leaders of the Kanban community. Together, they stand behind The Kanban Guide for Scrum Teams. It is their shared belief that professional software practitioners can benefit from the application of Kanban together with Scrum.

Kanban vs. Scrum: Which Is Better? ProjectManager.com.
Less structured than Scrum, there is no real process framework, only the model of the Kanban board and the cards on it that visual represent some aspect the project. Work is organized on the Kanban board as testing, ready for release and released columns.

Kanban vs Scrum Atlassian.
Instead of implementing all of the framework on day one, agility allows you to layer on more and more powerful features, taking the best from both scrum and kanban. As such, no two Agility projects are the same, and so you cant compare agility to scrum apples to apples.